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＜電子ブック＞
Spectral Theory on the S-Spectrum for Quaternionic Operators / by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey
(Operator Theory: Advances and Applications. ISSN:22964878 ; 270)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	IX, 356 p : online resource
著者標目	*Colombo, Fabrizio author Gantner, Jonathan author Kimsey, David P author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Dynamical systems LCSH:Functional analysis FREE:Operator Theory FREE:Dynamical Systems FREE:Functional Analysis
一般注記	Introduction -- Slice hyperholomorphic functions -- The S-spectrum and the S-functional calculus -- Properties of the S-functional calculus for bounded operators -- The S-functional calculus for unbounded operators -- The H1 functional calculus -- The F-functional calculus for bounded operators -- The F-functional calculus for unbounded operators -- Quaternionic operators on a Hilbert space -- Spectral integrals -- The spectral theorem for bounded normal operators -- The spectral theorem for unbounded normal operators -- Spectral theorem for unitary operators -- Spectral Integration in the Quaternionic Setting -- Bounded Quaternionic Spectral Operators The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph HTTP:URL=https://doi.org/10.1007/978-3-030-03074-2

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